An accurate closed-form formula is derived from an analytical method to calculate dispersion properties of the substrate integrated waveguide (SIW). The derived equation which is a function of geometrical parameters is used to accurately estimate the cutoff frequency of the dominant mode at a low leakage condition. The unit cell of an SIW can be considered as two consecutive rectangular waveguide sections with the specific difference in their widths. The propagation constant is extracted by applying the Floquet theorem to the overall transmission matrix of the single unit cell. The proposed formula agrees well with numerical solutions as well as reported empirical equations in a wide range of structure parameters.Index Terms-Closed-form formula, propagation constant, substrate integrated waveguide (SIW), transmission matrix.
A frequency-selective power combiner/divider in single-layer substrate integrated waveguide (SIW) technology is introduced. The basic building block consists of a planar four cavity structure with three of them operated in SIW modes and one in SIW mode. Each cavity is coupled to one port of the unit. In addition the overall configuration considers couplings of each resonator to the two adjacent ones. Due to the coupling transformation properties of the mode cavity, second order 3 dB transfer functions are obtained from each port to two adjacent ones while the fourth port is almost isolated. The novel combiner/divider is designed for 11 GHz and prototyped on RT/Duroid 5870 substrate. Measurements verify the design process and operation of the device.
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